document.write( "Question 830233: Please solve this, \"is perpendicular to the line 4y-3x=0 and contains the point (-1,3)\" Thank you so much! \n" ); document.write( "
Algebra.Com's Answer #500441 by erica65404(394)\"\" \"About 
You can put this solution on YOUR website!
The first step is to put this in slope-intercept form; \"y=mx%2Bb\"
\n" ); document.write( "\"4y-3x=0\"
\n" ); document.write( "\"4y=3x\"
\n" ); document.write( "\"y=%283%2F4%29x\"\r
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\n" ); document.write( "\n" ); document.write( "The slope for this line is \"3%2F4\".\r
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\n" ); document.write( "\n" ); document.write( "A line that is perpendicular would be the reciprocal times -1.\r
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\n" ); document.write( "\n" ); document.write( "\"3%2F4\"'s reciprocal is \"4%2F3\" and times that by -1, and you get the slope of \"-4%2F3\".\r
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\n" ); document.write( "\n" ); document.write( "So the new line line looks like \"y=%28-4%2F3%29x%2Bb\". We still need to find b so plug the point (-1,3) in for the x and y values.\r
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\n" ); document.write( "\n" ); document.write( "\"3=%28-4%2F3%29%28-1%29%2Bb\"
\n" ); document.write( "\"3=%284%2F3%29+%2B+b\"
\n" ); document.write( "\"3-%284%2F3%29=b\"
\n" ); document.write( "\"1%282%2F3%29=b\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-4%2F3%29x+%2B+1%282%2F3%29\"
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\n" ); document.write( "Email me at ericahigley@yahoo.com if you would like more free step by step help from me.
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